SOLUTION: Please help me with this problem the sequence of numbers is 16,24,__,54,81.. what number belongs in the third position?

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Question 105892: Please help me with this problem
the sequence of numbers is 16,24,__,54,81..
what number belongs in the third position?

Answer by scott8148(5886) About Me  (Show Source):
You can put this solution on YOUR website!
let x="missing number" ... this is a geometric sequence with a constant ratio between consecutive terms

so 24%2Fx=x%2F54 ... cross multiplying gives x%5E2=24%2A54